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Complexity_C_Integer 2019-03-21 04.38 pair #429989668
details
property
value
status
complete
benchmark
speedSingleSingle2.c
ran by
Akihisa Yamada
cpu timeout
1200 seconds
wallclock timeout
300 seconds
memory limit
137438953472 bytes
execution host
n088.star.cs.uiowa.edu
space
WTC_V2
run statistics
property
value
solver
AProVE
configuration
c_complexity
runtime (wallclock)
3.92939 seconds
cpu usage
4.97215
user time
4.61956
system time
0.352589
max virtual memory
1.84508E7
max residence set size
181176.0
stage attributes
key
value
starexec-result
WORST_CASE(?, O(n^1))
output
4.76/3.88 WORST_CASE(?, O(n^1)) 4.76/3.89 proof of /export/starexec/sandbox/output/output_files/bench.koat 4.76/3.89 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 4.76/3.89 4.76/3.89 4.76/3.89 The runtime complexity of the given CpxIntTrs could be proven to be BOUNDS(1, n^1). 4.76/3.89 4.76/3.89 (0) CpxIntTrs 4.76/3.89 (1) Koat Proof [FINISHED, 2685 ms] 4.76/3.89 (2) BOUNDS(1, n^1) 4.76/3.89 4.76/3.89 4.76/3.89 ---------------------------------------- 4.76/3.89 4.76/3.89 (0) 4.76/3.89 Obligation: 4.76/3.89 Complexity Int TRS consisting of the following rules: 4.76/3.89 eval_speedSingleSingle2_start(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_bb0_in(v_2, v_m, v_n, v_x.0, v_y.0)) :|: TRUE 4.76/3.89 eval_speedSingleSingle2_bb0_in(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_bb6_in(v_2, v_m, v_n, v_x.0, v_y.0)) :|: v_n < 0 4.76/3.89 eval_speedSingleSingle2_bb0_in(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_bb6_in(v_2, v_m, v_n, v_x.0, v_y.0)) :|: v_m < 0 4.76/3.89 eval_speedSingleSingle2_bb0_in(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_bb1_in(v_2, v_m, v_n, 0, 0)) :|: v_n >= 0 && v_m >= 0 4.76/3.89 eval_speedSingleSingle2_bb1_in(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_0(v_2, v_m, v_n, v_x.0, v_y.0)) :|: TRUE 4.76/3.89 eval_speedSingleSingle2_0(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_2(eval_nondet_start(v_2, v_m, v_n, v_x.0, v_y.0), eval_speedSingleSingle2_1(nondef.0, v_m, v_n, v_x.0, v_y.0)) :|: TRUE 4.76/3.89 eval_speedSingleSingle2_1(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_bb2_in(v_2, v_m, v_n, v_x.0, v_y.0)) :|: v_2 > 0 4.76/3.89 eval_speedSingleSingle2_1(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_bb6_in(v_2, v_m, v_n, v_x.0, v_y.0)) :|: v_2 <= 0 4.76/3.89 eval_speedSingleSingle2_bb2_in(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_bb3_in(v_2, v_m, v_n, v_x.0, v_y.0)) :|: v_x.0 < v_n 4.76/3.89 eval_speedSingleSingle2_bb2_in(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_bb4_in(v_2, v_m, v_n, v_x.0, v_y.0)) :|: v_x.0 >= v_n 4.76/3.89 eval_speedSingleSingle2_bb3_in(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_bb1_in(v_2, v_m, v_n, v_x.0 + 1, v_y.0 + 1)) :|: TRUE 4.76/3.89 eval_speedSingleSingle2_bb4_in(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_bb5_in(v_2, v_m, v_n, v_x.0, v_y.0)) :|: v_y.0 < v_m 4.76/3.89 eval_speedSingleSingle2_bb4_in(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_bb6_in(v_2, v_m, v_n, v_x.0, v_y.0)) :|: v_y.0 >= v_m 4.76/3.89 eval_speedSingleSingle2_bb5_in(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_bb1_in(v_2, v_m, v_n, v_x.0 + 1, v_y.0 + 1)) :|: TRUE 4.76/3.89 eval_speedSingleSingle2_bb6_in(v_2, v_m, v_n, v_x.0, v_y.0) -> Com_1(eval_speedSingleSingle2_stop(v_2, v_m, v_n, v_x.0, v_y.0)) :|: TRUE 4.76/3.89 4.76/3.89 The start-symbols are:[eval_speedSingleSingle2_start_5] 4.76/3.89 4.76/3.89 4.76/3.89 ---------------------------------------- 4.76/3.89 4.76/3.89 (1) Koat Proof (FINISHED) 4.76/3.89 YES(?, 45*ar_0 + 45*ar_1 + 45) 4.76/3.89 4.76/3.89 4.76/3.89 4.76/3.89 Initial complexity problem: 4.76/3.89 4.76/3.89 1: T: 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ] 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ] 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb1in(ar_0, ar_1, 0, 0, ar_4, ar_5)) [ ar_0 >= 0 /\ ar_1 >= 0 ] 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle2bb1in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle200(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalnondetstart(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle201(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle21(ar_0, ar_1, ar_2, ar_3, ar_5, ar_5)) 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle20(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_2(evalspeedSingleSingle200(ar_0, ar_1, ar_2, ar_3, ar_4, g), evalspeedSingleSingle201(ar_0, ar_1, ar_2, ar_3, ar_4, g)) 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_4 >= 1 ] 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle21(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_4 ] 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_0 >= ar_2 + 1 ] 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle2bb2in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_2 >= ar_0 ] 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle2bb3in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb1in(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4, ar_5)) 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_1 >= ar_3 + 1 ] 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle2bb4in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ ar_3 >= ar_1 ] 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle2bb5in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb1in(ar_0, ar_1, ar_2 + 1, ar_3 + 1, ar_4, ar_5)) 4.76/3.89 4.76/3.89 (Comp: ?, Cost: 1) evalspeedSingleSingle2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2stop(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 4.76/3.89 4.76/3.89 (Comp: 1, Cost: 0) koat_start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 <= 0 ] 4.76/3.89 4.76/3.89 start location: koat_start 4.76/3.89 4.76/3.89 leaf cost: 0 4.76/3.89 4.76/3.89 4.76/3.89 4.76/3.89 Repeatedly propagating knowledge in problem 1 produces the following problem: 4.76/3.89 4.76/3.89 2: T: 4.76/3.89 4.76/3.89 (Comp: 1, Cost: 1) evalspeedSingleSingle2start(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) 4.76/3.89 4.76/3.89 (Comp: 1, Cost: 1) evalspeedSingleSingle2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_0 + 1 ] 4.76/3.89 4.76/3.89 (Comp: 1, Cost: 1) evalspeedSingleSingle2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb6in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5)) [ 0 >= ar_1 + 1 ] 4.76/3.89 4.76/3.89 (Comp: 1, Cost: 1) evalspeedSingleSingle2bb0in(ar_0, ar_1, ar_2, ar_3, ar_4, ar_5) -> Com_1(evalspeedSingleSingle2bb1in(ar_0, ar_1, 0, 0, ar_4, ar_5)) [ ar_0 >= 0 /\ ar_1 >= 0 ]
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